61506601567637 has 2 divisors, whose sum is σ = 61506601567638. Its totient is φ = 61506601567636.

The previous prime is 61506601567573. The next prime is 61506601567669. The reversal of 61506601567637 is 73676510660516.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38942667044836 + 22563934522801 = 6240406^2 + 4750151^2 .

It is a cyclic number.

It is not a de Polignac number, because 61506601567637 - 2⁶ = 61506601567573 is a prime.

It is a super-3 number, since 3×61506601567637³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61506601561637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30753300783818 + 30753300783819.

It is an arithmetic number, because the mean of its divisors is an integer number (30753300783819).

Almost surely, 2^{61506601567637} is an apocalyptic number.

It is an amenable number.

61506601567637 is a deficient number, since it is larger than the sum of its proper divisors (1).

61506601567637 is an equidigital number, since it uses as much as digits as its factorization.

61506601567637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28576800, while the sum is 59.

The spelling of 61506601567637 in words is "sixty-one trillion, five hundred six billion, six hundred one million, five hundred sixty-seven thousand, six hundred thirty-seven".